A towing vehicle pulls a car along a level road with a rope that makes an angle of…

PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A towing vehicle pulls a 900 kg900\,\text{kg} car along a level road with a rope that makes an angle of 15∘15^{\circ} above the horizontal. During a 100 m100\,\text{m} stretch, the car’s speed increases uniformly from 5 m s−15\,\text{m}\,\text{s}^{-1} to 12 m s−112\,\text{m}\,\text{s}^{-1}. Neglect all retarding forces. (i) Calculate the work done on the car during this stretch. (ii) Using the result of part (i), determine the magnitude of the constant force exerted by the rope. (iii) If the car covers the 100 m100\,\text{m} distance in 20 s20\,\text{s}, compute the average power delivered by the towing vehicle’s force during this interval.

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